5,216 Results Found

In this paper, we establish a structural inequality of the ∞-subLaplacian ${▵}_{0,\infty }$ in a class of the semi-simple Lie group endowed with the horizontal vector fields $X_1,\dots ,X_{2n}$. When $1<p\le 4$ with $n=1$ and $1<p<3+\frac{1}{n-1}$ w...

Investment management is a common process and practice used for achieving a desirable investment goal or outcome. Unfortunately, the systematic variation of economic situations in the marketplace effects the continuous and frequent change of investme...

In this note we realize seven small simple groups as Galois groups over $\mathbb{Q}$. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of...

In this paper we prove that if M is a simple $K_3$-group, then $M\times M$ is uniquely determined by its order and some information on irreducible character degrees and as a consequence of our results we show that $M\times M$ is uniquely determined by the s...

Wireless Sensor Network (WSN) is a growing area of research in terms of applications, life enhancement and security. Research interests vary from enhancing network performance and decreasing overhead computation to solving security flaws. Secure Grou...

The field-theoretic renormalization group is applied to a simple model of a random walk on a rough fluctuating surface. We consider the Fokker–Planck equation for a particle in a uniform gravitational field. The surface is modeled by the genera...

The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximat...

Let G be a finite group. The prime graph $\mathsf{\Gamma }\left(G\right)$ of G is defined as follows: The set of vertices of $\mathsf{\Gamma }\left(G\right)$ is the set of prime divisors of $\left|G\right|$ and two distinct vertices p and $p^{\prime }$ are connected in $\mathsf{\&Gamma}$...

The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block...

In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections betwee...

The factorization of groups into a Zappa–Szép product, or more generally into a k-fold Zappa–Szép product of its subgroups, is an interesting problem, since it eases the multiplication of two elements in a group and has rece...

For a Chevalley group $G$ over an algebraically closed field $K$ of characteristic $p>0$ with the irreducible root system $R,$ Lusztig’s character formula expresses the formal character of a simple $G$-module by the formal characters of the Weyl modul...

Let G be a finite group. The vertex set of the prime-power graph of G is defined as $V\left(G\right)=\left\{p^{e_p\left(G\right)}|p\in \rho \left(G\right)\right\}$, where $\rho \left(G\right)$ is the set of all prime divisors of the degrees of all irreducible characters of G and $p^{e_p\left(G\right)}=max\left\{\psi {\left(1\right)}_p\mid \psi \&isi\right\}$...

In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic $p>h,$ where $h$ is a Coxeter number, with coefficients in simple modules. We assume that these classical Lie algebras are Lie al...

In this short note, I present a very quick review of the peculiarities of dimension four in geometric topology. I consider, in particular, the role of geometric simple connectivity (which means handle decomposition without handles of index one) for b...

Plant diseases pose significant economic challenges and may lead to ecological consequences. Although plant pathologists have a significant ability to diagnose plant diseases, rapid, accurate, and early diagnosis of plant diseases by intelligent syst...

The isoselective ring-opening polymerization of rac-LA is a challenging goal. In this work, a series of potassium amidate complexes (K1–K10) were easily prepared and characterized using the ¹H/¹³C NMR spectrum. The molecular structures of potas...

Given a digital image (or digital object) $(X,k),X\subset {\mathbb{Z}}^n$, this paper initially establishes a group structure of the set of self-k-isomorphisms of $(X,k)$ with the function composition, denoted by $Is{o}_k(X)$ or $Au{t}_k(X)$. In particular, let $C_k^{n,l}$ be a simple clo...

It is shown that, for both compact and non-compact Lie groups, vector-coherent-state methods provide straightforward derivations of holomorphic representations on symmetric spaces. Complementary vector-coherent-state methods are introduced to derive...

Individuals from racial minority backgrounds, especially those in low income situations, are at increased risk for obesity. Family meals positively impact child nutritional health; however, there is limited evidence examining the impact on caregivers...

C–H activation with transition metal catalysis has become an important tool in organic synthesis for the functionalization of low reactive bonds and the preparation of complex molecules. The choice of the directing group (DG) proves to be cruci...

A truncated M-fractional Kadomtsev–Petviashvili (KP) equation in high-dimensional space has been proposed. The model provides the oretical support for studying the interaction patterns among waves. According to the attributes of the truncated M...

The traveling salesman problem (TSP) widely exists in real-life practical applications; it is a topic that is under investigation and presents unsolved challenges. The existing solutions still have some challenges in convergence speed, iteration time...

Graph neural networks (GNNs) for crystal property prediction are typically evaluated by a single aggregate error, which can mask where, and for which classes of materials, these models fail. In this study, we present a space-group-, centering-type-,...

Cupressus gigantea W. C. Cheng & L. K. Fu is an endemic conifer tree species that is distributed widely along the northern portion of the deep gorge of the Yarlung Tsangbo River on the Tibetan Plateau. However, as a key plant species growing on t...

Depression is a common illness worldwide with doubtless severe implications. Due to the absence of early identification and treatment for depression, millions of individuals worldwide suffer from mental illnesses. It might be difficult to identify th...

Let G be a finite group and $\omega \left(G\right)$ be the set of element orders of G. Let $k\in \omega \left(G\right)$ and $m_k$ be the number of elements of order k in G. Let $nse\left(G\right)=\{m_k|k\in \omega \left(G\right)\}$. In this paper, we prove that if G is a finite group such that nse(G)...

Improving the processability of bio-based unsaturated polyester resins without compromising their performance remains a key challenge for their broader industrial adoption. This study investigates how post-polymerization modification reactions influe...

A Cayley graph $\Gamma =\mathsf{Cay}(G,S)$ is said to be normal if the base group G is normal in $\mathsf{Aut}\Gamma$. The concept of the normality of Cayley graphs was first proposed by M.Y. Xu in 1998 and it plays a vital role in determining the full automorphism groups of Cayley...

In this paper, we provide a brief introduction to the main notions of geometric group theory and of asymptotic topology of finitely generated groups. We will start by presenting the basis of discrete groups and of the topology at infinity, then we wi...

Classical power index analysis considers the individual’s ability to influence the aggregated group decision by changing its own vote, where all decisions and votes are assumed to be binary. In many practical applications we have more options than ei...

The objective of this study is to develop an easy and simple diffusion-controlled fabrication technique to generate the concentration gradient of biomolecules in hydrogels. Polyacrylamide (PAAm) hydrogels with a concentration gradient of type I colla...

NMR spectroscopy is a powerful tool for research on protein dynamics. In the past decade, there has been significant progress in the development of NMR methods for studying charged side chains. In particular, NMR methods for lysine side-chain NH₃⁺ gr...

Flexible supercapacitors are demanded for energy storage of wearable electronics. In this paper, a simple strategy for preparing flexible carbon fibers (CFs) with good energy storage capacity using a mixed acid treatment process is reported. When the...

Oligonucleotides carrying thiol groups are useful intermediates for a remarkable number of applications involving nucleic acids. In this study, DNA oligonucleotides carrying tert-butylsulfanyl (t-BuS) protected thiol groups have been prepared. A buil...

A dynamic interplay between prostate cancer (PCa) cells and reactive bone stroma modulates the growth of metastases within the bone microenvironment. Of the stromal cells, metastasis-associated fibroblasts (MAFs) are known to contribute but are the l...

In recent years, research has aimed to enhance the environmental friendliness of activated carbon by modifying its surface properties to effectively capture specific harmful gases. This study’s primary goal is to swiftly introduce oxygen functi...

Objectives: This study aimed to investigate the effects of external (EXT) versus internal (INT) focus of attention on acquiring and transferring simple and complex motor skills in novice female volleyball players. Methods: Fifty-seven participants we...

Background: This study aims to evaluate the efficacy and safety of a minimally invasive technique (pit excision with a punch biopsy needle) using a 1470 nm diode laser in the treatment of pilonidal sinus disease. Methods: A prospective study conducte...

Studies in humans and livestock have demonstrated Bacillus coagulans GBI-30, 6086 to have probiotic potential, suggesting that it may alleviate gastrointestinal (GI) distress commonly associated with diet change in dogs. This study aimed to evaluate...

Background: Abrupt dietary changes may disrupt gut microbiota populations and lead to gastrointestinal issues. This study aimed to determine the effects of live Bacillus pumilus SG154 or Lacticaseibacillus paracasei 327 postbiotic on fecal characteri...

Objectives: To assess the association between clinical outcomes and the multimodal imaging-based classification of central serous chorioretinopathy (CSC). Methods: This retrospective study included 207 eyes from 155 treatment-naïve patients with...

Variously substituted N-heterocyclic compounds are widespread across bio- and medicinal chemistry. The work aims to computationally evaluate the influence of the type of N-heterocyclic compound and the substitution position on the properties of three...

Background and Objectives: Postoperative delirium (PODil) is a cognitive condition characterized by sudden fluctuations in consciousness and orientation after surgery. PODil following total knee arthroplasty (TKA) is associated with prolonged hospita...

We performed an animal study to identify the techniques associated with the best muscle healing outcomes in cleft lip/palate surgery. The right triceps of thirty adult male Sprague–Dawley rats were cut and repaired by three different suture technique...

Forest therapy, guided by clinical professionals (psychologists or psychotherapists), is increasingly recognized as a preventive and complementary health practice with evidence-based therapeutic potential; however, the specific contribution of therap...

Sleep-related breathing disorders (SRBDs) can be present in children with simple obesity and with Prader–Willi syndrome (PWS) and influence an individual diagnostic and treatment approach. We compared frequency and severity of SRBDs in children with...

Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not necessarily minimal) permutation representations $\mathcal{P}$ . It is unusual, but significant...

Aim: To compare the levels of serum inflammatory indicators in psoriasis vulgaris patients who progress to PsA and those not, as well as to establish and validate a simple score scale for predicting PsA for psoriasis vulgaris patients. Methods: A cro...

The objective of this study is to evaluate the impact of EEG biofeedback training under normoxic and normobaric hypoxic conditions on both simple and complex reaction times in judo athletes, and to identify the optimal training frequency and environm...